PMID: 15244683Jul 13, 2004Paper

Melting of polydisperse hard disks

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Sander Pronk, D Frenkel

Abstract

The melting of a polydisperse hard-disk system is investigated by Monte Carlo simulations in the semigrand canonical ensemble. This is done in the context of possible continuous melting by a dislocation-unbinding mechanism, as an extension of the two-dimensional hard-disk melting problem. We find that while there is pronounced fractionation in polydispersity, the apparent density-polydispersity gap does not increase in width, contrary to 3D polydisperse hard spheres. The point where the Young's modulus is low enough for the dislocation unbinding to occur moves with the apparent melting point, but stays within the density gap, just like for the monodisperse hard-disk system. Additionally, we find that throughout the accessible polydispersity range, the bound dislocation-pair concentration is high enough to affect the dislocation-unbinding melting as predicted by Kosterlitz, Thouless, Halperin, Nelson, and Young.

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Citations

Sep 18, 2012·The Journal of Chemical Physics·Carolyn L Phillips, Sharon C Glotzer
Jun 7, 2012·The Journal of Chemical Physics·Konstantin V Tretiakov, Krzysztof W Wojciechowski
Jul 26, 2006·The Journal of Chemical Physics·Nigel B WildingMatteo Buzzacchi
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Derek Frydel, Stuart A Rice
Mar 11, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Nienke GeertsErika Eiser
Oct 27, 2017·Proceedings of the National Academy of Sciences of the United States of America·Ludovic BerthierSho Yaida
Jun 11, 2020·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Arjun H, Pinaki Chaudhuri
Jun 25, 2016·Physical Review Letters·Ludovic BerthierMisaki Ozawa
Apr 30, 2017·Physical Review Letters·Alice L ThorneyworkRoel P A Dullens
Oct 16, 2016·Physical Review. E·Sho YaidaGilles Tarjus
Apr 29, 2011·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Takeshi Kawasaki, Hajime Tanaka
Jan 20, 2018·Physical Review. E·Andrés SantosVitaliy Ogarko
Nov 11, 2020·The Journal of Chemical Physics·Pablo Sampedro Ruiz, Ran Ni
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Roel P A Dullens, Willem K Kegel
Apr 7, 2010·Physical Review Letters·Peter YunkerA G Yodh
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Oct 12, 2010·Langmuir : the ACS Journal of Surfaces and Colloids·Sabrina JahnErika Eiser

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